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We have considered possible ways of forming the simplest tetrahedral fullerenes,
namely elementary tetrahedron C4, truncated tetrahedron C12,
half-truncated cube C16,
fullerenes C28 and C36. By analogy with ionic crystals, we introduced "mathematical"
compounds, which form a topological cube of two tetrahedra inserted into each other, and
construct graphs for them. Combined with the graph analysis, this approach allows obtain a
clear knowledge of the tetrahedral fullerene structure. We extended our model to other
tetrahedral fullerenes, in particular, tetrahedral fullerenes C64 and C76.
Keywords: energy, fusion reaction, graph representation, growth, mathematical compound, periodic system, tetrahedral fullerene, topological cube |
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